The ratio of speed of sound in Hydrogen to that in Oxygen at the same temperature is:

1 : 4

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4 : 1

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1 : 1

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16 : 1

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Solution

The correct option is C $4 : 1$
Speed of sound $v = \sqrt{\frac{R T}{M}}$
Both hydrogen and oxygen are diatomic gasses.
Molecular weight of hydrogen $= 2$ and that of oxygen $= 32$
$\Rightarrow \frac{v_{H}}{v_{o}} = \sqrt{\frac{M_{o}}{M_{H}}} = \sqrt{\frac{32}{2}} = 4$

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The ratio of speed of sound in Hydrogen to that in Oxygen at the same temperature is:

The correct option is C 4:1Speed of sound v=√RTMBoth hydrogen and oxygen are diatomic gasses.Molecular weight of hydrogen =2 and that of oxygen =32⇒vHvo=√MoMH=√322=4

The correct option is C $4 : 1$
Speed of sound $v = \sqrt{\frac{R T}{M}}$
Both hydrogen and oxygen are diatomic gasses.
Molecular weight of hydrogen $= 2$ and that of oxygen $= 32$
$\Rightarrow \frac{v_{H}}{v_{o}} = \sqrt{\frac{M_{o}}{M_{H}}} = \sqrt{\frac{32}{2}} = 4$